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Solve the system of equations. If the system is dependent, express solutions in terms of the
parameter z. Show all row operations leading up to your solution. (row echelon form is sufficient
to determine solution)
X + y + z = -1
X – y + 2z = -13
5x + y + z = -17
Solution
The reduced row echelon form of the augmented matrix is
which corresponds to the system
Row
Operation
1:
1 1 1 -1
1 -1 2 -13
5 1 1 -17
add -1 times the 1st row to the 2nd row
1 1 1 -1
0 -2 1 -12
5 1 1 -17

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